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Stability and instability for Einstein-scalar field Lichnerowicz equations on compact Riemannian manifolds |
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| Authors: | Olivier Druet Emmanuel Hebey |
| Affiliation: | (1) Département de Mathématiques-UMPA, Ecole normale supérieure de Lyon, 46 allée d’Italie, 69364 Lyon Cedex 07, France;(2) Département de Mathématiques, Université de Cergy-Pontoise, Site de Saint-Martin, 2 avenue Adolphe Chauvin, 95302 Cergy-Pontoise Cedex, France |
| Abstract: | We investigate stability issues for Einstein-scalar field Lichnerowicz equations in the inhomogeneous context of a compact Riemannian manifold. We prove that stability holds true when the dimension n is such that n ≤ 5 and fails to hold in general when n ≥ 6. |
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